Answer:
x=7
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
b. 4.1 shirts
Step-by-step explanation:
Given data:
number of terms = 12
Terms given are 3, 4, 8, 5, 2, 5, 0, 5, 3, 4, 3, 7
Mean = (sum of terms)/ (number of terms)
Mean = (3 +4+ 8+ 5+2+5+0+ 5+ 3+ 4+3+ 7)/12
Mean = 49/12
Mean = 4.083
Mean = 4.1 (<em>to the nearest tenth)</em>
Step-by-step explanation:
Move expression to the left side and change its sign
5
y
−
3
+
10
y
2
−
y
−
6
−
y
y
+
2
=
0
Write
−
y
as a sum or difference
5
y
−
3
+
10
y
2
+
2
y
−
3
y
−
6
−
y
y
+
2
=
0
Factor out
y
and
−
3
from the expression
5
y
−
3
+
10
y
(
y
+
2
)
−
3
(
y
+
2
)
−
y
y
+
2
=
0
Factor out
y
+
2
from the expression
5
y
−
3
+
10
(
y
+
2
)
(
y
−
3
)
−
y
y
+
2
=
0
Write all numerators above the least common denominator
5
(
y
+
2
)
+
10
−
y
(
y
−
3
)
(
y
+
2
)
(
y
−
3
)
=
0
Distribute
5
and
−
y
through the parenthesis
5
y
+
10
+
10
−
y
2
+
3
y
(
y
+
2
)
(
y
−
3
)
=
0
Collect the like terms
8
y
+
20
−
y
2
(
y
+
2
)
(
y
−
3
)
=
0
Use the commutative property to reorder the terms
−
y
2
+
8
y
+
20
(
y
+
2
)
(
y
−
3
)
=
0
Write
8
y
as a sum or difference
−
y
2
+
10
y
−
2
y
+
20
(
y
+
2
)
(
y
−
3
)
=
0
Factor out
−
y
and
−
2
from the expression
−
y
(
y
−
10
)
−
2
(
y
−
10
)
(
y
+
2
)
(
y
−
3
)
=
0
Factor out
−
(
y
−
10
)
from the expression
−
(
y
−
10
)
(
y
+
2
)
(
y
+
2
)
(
y
−
3
)
=
0
Reduce the fraction with
y
+
2
−
y
−
10
y
−
3
=
0
Determine the sign of the fraction
−
y
−
10
y
−
3
=
0
Simplify
10
−
y
y
−
3
=
0
When the quotient of expressions equals
0
, the numerator has to be
0
10
−
y
=
0
Move the constant,
10
, to the right side and change its sign
−
y
=
−
10
Change the signs on both sides of the equation
y
=
10
Check if the solution is in the defined range
y
=
10
,
y
≠
3
,
y
≠
−
2
∴
y
=
10
The complete question in the figure attached
1) calculate the area <span>all four sides
A=[12+9+12+9]*8=336 ft</span>²
if 1 gallons---------------------------- > covers 350 ft²
X------------------------------------ > 336 ft²
X=336/350=0.96 gallons
but remember
<span>that there are two coats of paint
</span>therefore
0.96*2----------- > 1.92------- > 2 gallons
the answer is 2 gallons
1) x=-3. The missing angle is 71 degrees
2) x=45. The missing angles are 90 and 45 degrees.
3) x=40. The missing angles are 40 and 100 degrees